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Finding the Fourth Proportional to 10,727.34, 16,091.06 and 2,829.30

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Solution

The fourth proportional to 10,727.34, 16,091.06 and 2,829.30 is: 4,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.34 : 16,091.06 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    10,727.34/16,091.06 = 2,829.30/x
  3. Step 3: Cross multiply
    10,727.34x = 16,091.06 × 2,829.30
  4. Step 4: Simplify right side
    10,727.34x = 45,526,421.91
  5. Step 5: Solve for x
    x = 45,526,421.91/10,727.34
  6. Step 6: Final answer
    x = 4,243.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.